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Finding the Third Proportional to 602,161 and 820,179

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Solution

The third proportional to 602,161 and 820,179 is: 1,117,132.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,161 : 820,179 = 820,179 : x
  2. Step 2: Convert to fraction form
    602,161/820,179 = 820,179/x
  3. Step 3: Cross multiply
    602,161x = 820,179 × 820,179
  4. Step 4: Simplify right side
    602,161x = 672,693,592,041
  5. Step 5: Solve for x
    x = 672,693,592,041/602,161
  6. Step 6: Final answer
    x = 1,117,132.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.